What two numbers multiply to -218 and add up to 107?

Here we answer the question: "What two numbers multiply to -218 and add up to 107?"

The answer to your question is:

-2 and 109

Below we illustrate and prove that -2 and 109 multiply to -218 and add up to 107:

-2 × 109 = -218
-2 + 109 = 107

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 107x - 218 = 0

If so, the solution to factor the quadratic equation above is:

(x - 2 ) (x + 109)

To summarize, since -2 and 109 multiply to -218 and add up 107, you know that the following is true:

x² + 107x - 218 = (x - 2 ) (x + 109)

Multiply To One Number and Add Up To Another
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